Lorentz Invariance.pdf (155.45 kB)
Lorentz Invariance in Chiral Kinetic Theory
journal contribution
posted on 2015-06-03, 00:00 authored by J.Y. Chen, D.T. Son, M.A. Stephanov, H.U. Yee, Y. YinWe show that Lorentz invariance is realized nontrivially in the classical action of a massless spin-1/2 particle with definite helicity. We find that the ordinary Lorentz transformation is modified by a shift orthogonal to the boost vector and the particle momentum. The shift ensures angular momentum conservation in particle collisions and implies a nonlocality of the collision term in the Lorentz-invariant kinetic theory due to side jumps. We show that 2/3 of the chiral-vortical effect for a uniformly rotating particle distribution can be attributed to the magnetic moment coupling required by the Lorentz invariance. We also show how the classical action can be obtained by taking the classical limit of the path integral for a Weyl particle
Funding
. This work is supported, in part, by a Simon Investigator grant from the Simons Foundation and the U.S. DOE Grants No. DE-FG0201ER41195 and No. DE-FG02-13ER41958.
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Publisher Statement
This is the copy of an article published in Physical Review Letters ©2014 American Physical Society Publications. Physical Review Letters. 2014. 113(18). DOI: 10.1103/PhysRevLett.113.182302.Publisher
American Physical Societyissn
0031-9007Issue date
2014-10-31Usage metrics
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